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Finding the Fourth Proportional to 523.49, 723.30 and 366.71

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Solution

The fourth proportional to 523.49, 723.30 and 366.71 is: 506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.49 : 723.30 = 366.71 : x
  2. Step 2: Convert to fraction form
    523.49/723.30 = 366.71/x
  3. Step 3: Cross multiply
    523.49x = 723.30 × 366.71
  4. Step 4: Simplify right side
    523.49x = 265,241.34
  5. Step 5: Solve for x
    x = 265,241.34/523.49
  6. Step 6: Final answer
    x = 506.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.